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Finding the Fourth Proportional to 2,011.28, 3,017.44 and 915.12

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Solution

The fourth proportional to 2,011.28, 3,017.44 and 915.12 is: 1,372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.28 : 3,017.44 = 915.12 : x
  2. Step 2: Convert to fraction form
    2,011.28/3,017.44 = 915.12/x
  3. Step 3: Cross multiply
    2,011.28x = 3,017.44 × 915.12
  4. Step 4: Simplify right side
    2,011.28x = 2,761,319.69
  5. Step 5: Solve for x
    x = 2,761,319.69/2,011.28
  6. Step 6: Final answer
    x = 1,372.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.